Extensions 1→N→G→Q→1 with N=C13 and Q=C4xQ8

Direct product G=NxQ with N=C13 and Q=C4xQ8
dρLabelID
Q8xC52416Q8xC52416,180

Semidirect products G=N:Q with N=C13 and Q=C4xQ8
extensionφ:Q→Aut NdρLabelID
C13:(C4xQ8) = Q8xC13:C4φ: C4xQ8/Q8C4 ⊆ Aut C131048-C13:(C4xQ8)416,208
C13:2(C4xQ8) = C4xDic26φ: C4xQ8/C42C2 ⊆ Aut C13416C13:2(C4xQ8)416,89
C13:3(C4xQ8) = Dic13:3Q8φ: C4xQ8/C4:C4C2 ⊆ Aut C13416C13:3(C4xQ8)416,108
C13:4(C4xQ8) = Q8xDic13φ: C4xQ8/C2xQ8C2 ⊆ Aut C13416C13:4(C4xQ8)416,166


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